3
Which expression is closest in value to 5.66?

3Which Expression Is Closest In Value To 5.66?

Answers

Answer 1

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

[tex] \dfrac{\pi}{2} + \pi[/tex]

Let consider π = 3.14

[tex] \dfrac{3.14}{2} + 3.14[/tex]

[tex]1.57 + 3.14[/tex]

[tex]4.71 \: (approx.)[/tex]

B) GiveN:

[tex]2\pi - 1[/tex]

Here also, let's consider the value be 3.14

[tex]2 \times 3.14 - 1[/tex]

[tex]6.28 - 1[/tex]

[tex]5.28 \: (approx.)[/tex]

C) GiveN:

[tex]4 \sqrt{2} [/tex]

Let's consider the value of √2 be 1.414

[tex]4 \times 1.414[/tex]

[tex]5.6516 \: (approx.)[/tex]

D) GiveN:

[tex]8 - \sqrt{3} [/tex]

Let's consider the value of √3 be 1.732

[tex]8 - 1.732[/tex]

[tex]6.268 \: (approx.)[/tex]

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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Related Questions

Find the 9th term of the geometric sequence 4, 16, 64, ...

Answers

Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times  and keep doing that until its the 9th answer :)

Step-by-step explanation:

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.

What is geometrical series?

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

The first term of the series is 4, while the ratio of the geometric sequence:

[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]

Thus, the 9th term of the geometric series can be written as,

[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]

Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.

Learn more about Geometrical Series:

https://brainly.com/question/4617980

#SPJ2

Write the values that make the denominators zero. then solve the equation?
10/5x-5 + 1/5 = 2/x-1

Answers

Answer:

  denominators are zero for x=1

  there is no solution

Step-by-step explanation:

We suspect your equation is supposed to be ...

  10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators

The denominators will be zero for x=1.

This version of the equation has no solution. It simplifies to ...

  2/(x-1) + 1/5 = 2/(x -1)

  1/5 = 0 . . . . . subtract 2/(x-1) from both sides

There is no value of x that will make this equation true.

_____

Alternative interpretation

The way your equation is written, it must be interpreted according to the order of operations to be ...

  (10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero

  2x -3.8 = 2/x

  2x^2 -3.8x = 2 . . . . multiply by x

  2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)

  (x -0.95)^2 = 1.9025

  x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}

simplify (4x+1)(3+9x)

Answers

Answer:

36 x 2 + 21 x + 3

Step-by-step explanation:

Simplify the expression.

Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )

The sum of three consecutive integers is 267. What is the largest integer?

Answers

Answer:

let integers be x,2x, 3x respectively

x+2x+3x= 267

6x= 267

x=267/6= 44.5

2x= 44.5*2= 89

3x= 44.5*3= 133.5

largest integer = 133.5

hope it helps

plz mark as brainliest

Write each expression in simplest form.
3d + 6d
2 + 55-4
2z+3-92-8

Answers

Answer:

9d

53

2z-97

Step-by-step explanation:

Its basically just simplification btw.

pingu!

Quick I need help, it states what polygon is shown by the street sign

Answers

I’m pretty sure it’s just asking what shape each sign is.

One way is a rectangle
I can’t tell if the do not enter is a circle or square... maybe you can see it better
Stop is an octagon
etc...

What is 8,541 rounded to the nearest thousand?
A) 8,500
B) 8,000
C) 8,600
D)9,000
ANSWER PLEASE

Answers

D. 9,000 hope this helps

Step-by-step explanation:

Answer:

Question What is 8,541 rounded to the nearest thousand? Answer D)9000

Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]

(URGENT) Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countries is 20,000,000 carats, find the amount produced in each country.

Answers

Answer:

A: 16,000,000 caratsB: 4,000,000 carats

Step-by-step explanation:

If the ratio is ...

  A : B = 4 : 1

Then the ratio to the total is ...

  A : total = 4 : (4+1) = 4 : 5

  B : total = 1 : (4+1) = 1 : 5

Country A produces (4/5)×20 M carats, or 16 million carats.

Country B produces the remainder, 4 million carats.

the value of 7y–2 is 10 more than the value of 2y

Answers

Answer:

y=12/5 (in decimal notation y=2.4)

Step-by-step explanation:

the value of 7y-2 = 10 more than 2y

7y-2 = 10+2y

7y-2y = 10+2

5y = 12

y = 12/5

y = 2.4

Rewrite the quality 827,000,000,000,000 pico second to show :

1sig. Fig.

2sig. Fig.

3sig. Fig.

4 dig. Fig.

5sig. Fig.

Answers

Answer:

a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)

b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)  

c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)

d. 4 sig. figs. 827,000,000,000,000 picoseconds  (8.270 x 10^14 picoseconds)

e. 5 sig. figs. 827,000,000,000,000 picoseconds  (8.2700 x 10^14 picoseconds)

Step-by-step explanation:

A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was and the standard deviation was . The test scores of four students selected at random are ​, ​, ​, and . Find the​ z-scores that correspond to each value and determine whether any of the values are unusual.

Answers

Answer:

The following are the solution to this question:

Step-by-step explanation:

In the given question, some of the values are missing which is defined in the attached file please find it.

In this question, the data is used to represent a standardized​ exam's scores, which is normally spread out into the test score that is  1530 and its standard deviation 316.  

Formula:

[tex]\to z=\frac{X- \mu}{\sigma } \\[/tex]

If the value of z-score= 1930

       [tex]\to z =\frac{1930- 1530}{316 } \\\\ \to z =\frac{400}{316 } \\\\ \to z = 1.27[/tex]

The z-score is 1.27

If the value of z-score= 1250

       [tex]\to z =\frac{1250- 1530}{316 } \\\\ \to z =\frac{-280}{316 } \\\\ \to z = -0.886[/tex]

The z-score is -0.886

If the value of z-score= 2250

       [tex]\to z =\frac{2250- 1530}{316 } \\\\ \to z =\frac{720}{316 } \\\\ \to z = 2.27[/tex]

The z-score is = 2.27

If the value of z-score= 1420

       [tex]\to z =\frac{1420- 1530}{316 } \\\\ \to z =\frac{-110}{316 } \\\\ \to z = -0.348[/tex]

The z-score is = -0.348

Which is equivalent to (3 + 4i )(3 - 4i )?

Answers

Use the FOIL method to solve.

(3 + 4i)(3 - 4i)

(3 * 3) + (3 * -4i) + (4i * 3) + (4i * -4i)

9 - 12i + 12i - 16i

9 - 16i

Best of Luck!

What is the value of AB?

Answers

Answer:

use the pythogoras thoerem making aright angled traingle

and multiply the result by 2

ab = 2*8 =16

Step-by-step explanation:

16 I think so it should be

How do you draw the probabilities for this tree diagram?

Answers

Step-by-step explanation:

The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.

P(D₁) = P(D₂) = P(D₃) = 1/3

The contestant initially chooses door 1, so the host will not open it.

P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0

The host will not open the door with the prize.

P(H₂|D₂) = P(H₃|D₃) = 0

The remaining probabilities for each door are equal.

P(H₂|D₁) = P(H₃|D₁) = 1/2

P(H₃|D₂) = 1

P(H₂|D₃) = 1

PLEASE ANSWER FAST

Find the square root of 16.
O a
-4
Ob
4
Ос
+4
Od
-8

Answers

the square root of 16 is 4

Answer:

the square root of 16 is 4

convert this statement into a conditional statement: 2 angles that add up to 180 degrees are supplementary

Answers

answer:
if 2 angles add up to 180 degrees, then they are supplementary

Type an equation for the
following pattern.

Answers

I’m pretty sure it’s Y=15 over 3 but I’m not toooo sure

Solve for j.
-12 + 6j = 7j

Answers

Answer:

[tex]\large\boxed{j = -12}[/tex]

Step-by-step explanation:

-12 + 6j = 7j

Subtract 6j from both sides of the equation

[tex]\large\boxed{j = -12}[/tex]

This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.

Hope this helps :)

please help me it is easy,

Answers

Answer:

i think id say it is 10.5 i might be wrong though

Step-by-step explanation:

Answer:

14 lemonade serving

Step-by-step explanation:

1½+3=4½

In 4 liters we get 12 ⅓serving of lemonade

In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving

Total =12+1+1=14

What is the solution of the equation 8x^3 = -64?

Answers

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]8x^3=-64[/tex]

Divide both sides by 8:

[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]

[tex]x^3=-8[/tex]

Cube root both sides:

[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]

[tex]x=-2[/tex]

Solve for x-
5x-2 = 2x+10

Answers

✨__________________________________✨

4 is correct answer

Step-by-step explanation:

[tex]5x - 2 = 2x + 10 \\ 5x - 2x = 10 + 2 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4[/tex]

✨__________________________________✨

Written By: A Silent Voice☃️

Can someone help me with 4?

Answers

Answer:

ok so the answer is 343

Step-by-step explanation:

so for 4) you first use PEMDAS(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), and you do what's in the parenthesis first, so 7^4= 2401, that is inside the parenthesis, next you do the exponent outside the parenthesis, so is (2401)^2=5764801, and then you divide the 7^5=16807, so it looks like 5764801/16807=343

hope it helps

Answer:

The Answer is 343.

Step-by-step explanation:

First- We do the parenthesis first according to PEMDAS which is 7 x 7 x 7 x 7 equals 2401.

Next- We do 2401 x 2401 which equals 5764801.

Then- We do the bottom exponent which is 7 x 7 x 7 x 7 x 7 equals 16807.

Last- We divide 5764801 by 16807 and we get 343.

Hope this helps!

A candy store sells mints in 14, 12 , and 34 lb packages. John purchases several packages of each weight.

What is the weight of 6 packages of the 14 lb package?

Answers

Answer:

84 lbs

Step-by-step explanation:

Multiply 14*6 to get the total weight

In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?

Answers

Answer:

its 10 times

Step-by-step explanation:

its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place

What is the Domain of the given graph?
(0,2)


(-3,0)

Answers

Answer:

dssds 8900

Step-by-step explanation:

dwdwdmunayaynd

The domains are 0 and -3 and the range is 2, and 0

Is 5 a solution to 2x + 5 = 15? Yes or No
How do you know?

Answers

Answer:

Yes

Step-by-step explanation:

yes because when you place 5 in the x spot you arrive a final answer of 15=15

Which equation must be true for m(x) and n(x) to be inverse?

Answers

Answer:

  see below

Step-by-step explanation:

When the functions are inverses of each other, it will be true that ...

  m(n(x)) = n(m(x)) = x

The expanded form of this equation is shown below.

Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un
camino de cemento de ancho uniforme. Si el área del camino es 112 metros cuadrados, ¿cuánto
mide su ancho?

Answers

Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = [tex]2w+15[/tex]

width = [tex]2w+9[/tex]

Area of road with pool =  [tex](2w+15) (2w+9)[/tex]

[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]

Area of road = (Area of road with pool ) -(area of pool)

[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.

The rule (x, y) → (-X, -y) maps A RST to A R'S'T',
Which statement correctly describes the relationship between ARST and A R'S'T'?
The triangles are congruent because AR'S'T' is a rotation of ARST, and a rotation is a rigid motion.
The triangles are congruent because AR'S'T' is a translation of ARST and a translation is a rigid
motion
The triangles are not congruent because AR'S'T' is a translation of ARST, and a translation is not a
rigid motion
The triangles are not congruent because AR'S'T' is a rotation of A RST, and a rotation is not a rigid
motion

Answers

Answer:

A

Step-by-step explanation:

These triangles are first off congruent, because the only value that is changing, is the negative sign in front.

This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.

g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (mpg) on the vertical axis. The overall direction of this data is __________. The strength of the association is __________. a.) positive; weak b.) positive; strong c.) negative; strong d.) negative; weak

Answers

scatterplot relating to the question is attached below.

Answer: Negative ; Strong

Step-by-step explanation:

From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.

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